MIT Subject Listing & Schedule
IAP / Spring 2018 Search Results

Searched for: "18.03"    Subjects offered any term

1 subject found.

18.03 Differential Equations

(, )
Prereq: None. Coreq: Calculus II (GIR)
Units: 5-0-7
Credit cannot also be received for 18.032, CC.1803, ES.1803
http://math.mit.edu/classes/18.03
Lecture: MWF1 (26-100) Recitation: TR9 (2-143) or TR10 (2-136, 2-142, 2-143) or TR11 (2-131, 2-132, 2-142, 2-146) or TR12 (2-131, 2-132, 2-142, 2-146) or TR1 (2-142, 35-308, 26-310, 26-328) or TR2 (26-328, 2-142, 2-143) or TR3 (2-142, 2-143) +final

Study of differential equations, including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series. Matrices, eigenvalues, eigenvectors, diagonalization. First order linear systems: normal modes, matrix exponentials, variation of parameters. Heat equation, wave equation. Nonlinear autonomous systems: critical point analysis, phase plane diagrams.
Fall: A. Negut
Spring: B. Poonen
No textbook information available